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Finding the Fourth Proportional to 7,679.49, 11,511.94 and 3,002.50

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Solution

The fourth proportional to 7,679.49, 11,511.94 and 3,002.50 is: 4,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.49 : 11,511.94 = 3,002.50 : x
  2. Step 2: Convert to fraction form
    7,679.49/11,511.94 = 3,002.50/x
  3. Step 3: Cross multiply
    7,679.49x = 11,511.94 × 3,002.50
  4. Step 4: Simplify right side
    7,679.49x = 34,564,584.84
  5. Step 5: Solve for x
    x = 34,564,584.84/7,679.49
  6. Step 6: Final answer
    x = 4,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.